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An experiment was conducted into car tyre wear by the department of Materials Science at Lowlands University, which it has been asked to carry out by a tyre company. The tyre company has created a new compound which it hopes will make tyres last much longer. Various levels of the compound were mixed in with rubber to make tyres. Apart from that, all the tyres were identical, with 16mm of tread when new. One hundred motorists chosen at random were given new tyres, and split into ten groups. After each motorist had completed 10,000 miles on the new tyres, the level of tread remaining was measured. The data recording the experiment is set out in the table below. You have been asked to use correlation analysis to see if there is a relationship between the percentage of the new compound and the wear on the tyres. (1) (ii) (iii) 1 2 3 4 5 6 7 Group of motorists % of new compound 5 5.5 6 6.5 8 9 Identify appropriate x and y variables, stating clearly which variable is the "x" variable and which is the "y" variable and why you have chosen that arrangement. 10 Calculate (using any method you choose) the correlation coefficient and show your working out in full. When you have calculated the correlation coefficient, explain IN YOUR OWN WORDS what its value tells us. 7 7.5 8 8.5 9 9.5 Average mm of tread remaining 8 8.4 8.6 8.8 9 9.2 9.4 oi oi oi o 9.3 9.2 9.1

An experiment was conducted into car tyre wear by the department of Materials Science at Lowlands University, which it has been asked to carry out by a tyre company. The tyre company has created a new compound which it hopes will make tyres last much longer. Various levels of the compound were mixed in with rubber to make tyres. Apart from that, all the tyres were identical, with 16mm of tread when new. One hundred motorists chosen at random were given new tyres, and split into ten groups. After each motorist had completed 10,000 miles on the new tyres, the level of tread remaining was measured. The data recording the experiment is set out in the table below. You have been asked to use correlation analysis to see if there is a relationship between the percentage of the new compound and the wear on the tyres. (1) (ii) (iii) 1 2 3 4 5 6 7 Group of motorists % of new compound 5 5.5 6 6.5 8 9 Identify appropriate x and y variables, stating clearly which variable is the "x" variable and which is the "y" variable and why you have chosen that arrangement. 10 Calculate (using any method you choose) the correlation coefficient and show your working out in full. When you have calculated the correlation coefficient, explain IN YOUR OWN WORDS what its value tells us. 7 7.5 8 8.5 9 9.5 Average mm of tread remaining 8 8.4 8.6 8.8 9 9.2 9.4 oi oi oi o 9.3 9.2 9.1

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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E QUESTION 2 An experiment was conducted into car tyre wear by the department of Materials Science at Lowlands University, which it has been asked to carry out by a tyre company. The tyre company has created a new compound which it hopes will make tyres last much longer. Various levels of the compound were mixed in with rubber to make tyres. Apart from that, all the tyres were identical, with 16mm of tread when new. One hundred motorists chosen at random were given new tyres, and split into ten groups. After each motorist had completed 10,000 miles on the new tyres, the level of tread remaining was measured. The data recording the experiment is set out in the table below. You have been asked to use correlation analysis to see if there is a relationship between the percentage of the new compound and the wear on the tyres. (0) (ii) (iii) 5 6 7 8 9 Identify appropriate x and y variables, stating clearly which variable is the "x" variable and which is the "y" variable and why you have chosen that arrangement. 10 Calculate (using any method you choose) the correlation coefficient and show your working out in full. Group of motorists 1 2 3 4 When you have calculated the correlation coefficient, explain IN YOUR OWN WORDS what its value tells us. QUESTION 3 50%Ś % of new compound Average mm of tread remaining 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 W 8 8.4 8.6 8.8 9 9.2 9.4 9.3 9.2 9.1 Focus 09 8°℃ @
Transcribed Image Text:E QUESTION 2 An experiment was conducted into car tyre wear by the department of Materials Science at Lowlands University, which it has been asked to carry out by a tyre company. The tyre company has created a new compound which it hopes will make tyres last much longer. Various levels of the compound were mixed in with rubber to make tyres. Apart from that, all the tyres were identical, with 16mm of tread when new. One hundred motorists chosen at random were given new tyres, and split into ten groups. After each motorist had completed 10,000 miles on the new tyres, the level of tread remaining was measured. The data recording the experiment is set out in the table below. You have been asked to use correlation analysis to see if there is a relationship between the percentage of the new compound and the wear on the tyres. (0) (ii) (iii) 5 6 7 8 9 Identify appropriate x and y variables, stating clearly which variable is the "x" variable and which is the "y" variable and why you have chosen that arrangement. 10 Calculate (using any method you choose) the correlation coefficient and show your working out in full. Group of motorists 1 2 3 4 When you have calculated the correlation coefficient, explain IN YOUR OWN WORDS what its value tells us. QUESTION 3 50%Ś % of new compound Average mm of tread remaining 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 W 8 8.4 8.6 8.8 9 9.2 9.4 9.3 9.2 9.1 Focus 09 8°℃ @
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